Question:
A has a sum of ₹12,528, which is 16% more than what B has and 20% less than what C has. The amount that B and C together have is:
A के पास ₹12,528 की राशि है, जो B के पास मौजूद राशि से 16% अधिक है और C के पास मौजूद राशि से 20% कम है। B और C के पास मिलाकर कुल कितनी राशि है?
Options:
- ₹26,460
- ₹26,450
- ₹26,420
- ₹26,550
- ₹26,460
- ₹26,450
- ₹26,420
- ₹26,550
Correct Answer: a)
Explanation:
Given that A has ₹12,528.
1. A has 16% more than B:
\(A = B \times \left(1 + \frac{16}{100}\right) = 1.16 \times B\)
\(B = \frac{12528}{1.16} = ₹10,800\)
2. A has 20% less than C:
\(A = C \times \left(1 – \frac{20}{100}\right) = 0.80 \times C\)
\(C = \frac{12528}{0.80} = ₹15,660\)
3. Total amount that B and C together have:
\(B + C = 10800 + 15660 = ₹26,460\).
Hence, the correct option is (a).
दिया गया है कि A के पास ₹12,528 हैं।
1. A के पास B से 16% अधिक राशि है:
\(A = 1.16 \times B\)
\(B = \frac{12528}{1.16} = ₹10,800\)
2. A के पास C से 20% कम राशि है:
\(A = 0.80 \times C\)
\(C = \frac{12528}{0.80} = ₹15,660\)
3. B और C के पास मिलाकर कुल राशि:
\(B + C = 10800 + 15660 = ₹26,460\)।
अतः सही विकल्प (a) है।